Remarks on the Second Homology Groups of Queer Lie Superalgebras

Yongjie Wang; Zhihua Chang

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arXiv · 2102.01359

Remarks on the Second Homology Groups of Queer Lie Superalgebras

Yongjie Wang·Zhihua Chang

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Abstract

The aim of this note is to completely determine the second homology group of the special queer Lie superalgebra $\mathfrak{sq}_n(R)$ coordinatized by a unital associative superalgebra $R$, which will be achieved via an isomorphism between the special linear Lie superalgebra $\mathfrak{sl}_{n}(R\otimes Q_1)$ and the special queer Lie superalgebra $\mathfrak{sq}_n(R)$.

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Yongjie Wang, Zhihua Chang. 2021-02-02. Remarks on the Second Homology Groups of Queer Lie Superalgebras. https://arxiv.org/abs/2102.01359

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